2. Find T, N the unit bi-normal vector B, and k at the given t value. (2c) r(t) = (3sin t)i + (3 cos t)j + 4tk (2a) r(t) = (t², t³, t), t=1 (2b) r(t) = ( cos t, sint, In cos t), t= (2d) ★ r(t) = (e* cos t) i + (e' sin t) j + 2k %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please solve the question 2, it has mutliple parts.

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2. Find T, N the unit bi-normal vector B, and k at the given t value.
(2a) r(t) :
(t², t³,
3
(2c) r(t) = (3 sin t)i + (3 cos t)j + 4tk
t = 1
(2b) r(t) = ( cos t, sin t, In cost), t=T
(2d) ★ r(t) = (e' cos t) i + (e' sin t) j+ 2k
Transcribed Image Text:2. Find T, N the unit bi-normal vector B, and k at the given t value. (2a) r(t) : (t², t³, 3 (2c) r(t) = (3 sin t)i + (3 cos t)j + 4tk t = 1 (2b) r(t) = ( cos t, sin t, In cost), t=T (2d) ★ r(t) = (e' cos t) i + (e' sin t) j+ 2k
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